What is the Greatest Common Factor of 77056 and 77070?

Greatest common factor (GCF) of 77056 and 77070 is 14.

GCF(77056,77070) = 14

We will now calculate the prime factors of 77056 and 77070, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 77056 and 77070.

How to find the GCF of 77056 and 77070?

We will first find the prime factorization of 77056 and 77070. After we will calculate the factors of 77056 and 77070 and find the biggest common factor number .

Step-1: Prime Factorization of 77056

Prime factors of 77056 are 2, 7, 43. Prime factorization of 77056 in exponential form is:

77056 = 2⁸ × 7¹ × 43¹

Step-2: Prime Factorization of 77070

Prime factors of 77070 are 2, 3, 5, 7, 367. Prime factorization of 77070 in exponential form is:

77070 = 2¹ × 3¹ × 5¹ × 7¹ × 367¹

Step-3: Factors of 77056

List of positive integer factors of 77056 that divides 77056 without a remainder.

1, 2, 4, 7, 8, 14, 16, 28, 32, 43, 56, 64, 86, 112, 128, 172, 224, 256, 301, 344, 448, 602, 688, 896, 1204, 1376, 1792, 2408, 2752, 4816, 5504, 9632, 11008, 19264, 38528

Step-4: Factors of 77070

List of positive integer factors of 77070 that divides 77056 without a remainder.

1, 2, 3, 5, 6, 7, 10, 14, 15, 21, 30, 35, 42, 70, 105, 210, 367, 734, 1101, 1835, 2202, 2569, 3670, 5138, 5505, 7707, 11010, 12845, 15414, 25690, 38535

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 77056 and 77070. The biggest common factor number is the GCF number.
So the greatest common factor 77056 and 77070 is 14.

Also check out the Least Common Multiple of 77056 and 77070